{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4933b83-3e27-4ebd-8d57-e7ee694bc205",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_3722481/1555970642.py:8: RuntimeWarning: divide by zero encountered in divide\n",
      "  return x**3-1/x\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#############################################################################################\n",
    "#这个例子，绘制函数及其切线\n",
    "#############################################################################################\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def fun1(x):\n",
    "    return x**3-1/x\n",
    "def numerical_lim(f,x):\n",
    "    h=1e-4\n",
    "    return (f(x+h)-f(x))/h\n",
    "def tangent_line(f,x):\n",
    "    #d就是调用numerical_diff求得在x点点导数\n",
    "    d=numerical_lim(f,x)\n",
    "    # 这里直接y=kx+b求截，简单粗暴，y就是截距\n",
    "    y=f(x)-d*x\n",
    "    #使用lambda匿名函数，t是形参，'：'后是要执行的函数表达式\n",
    "    return lambda t:d*t+y\n",
    "\n",
    "x=np.arange(0.0,20.0,0.1)\n",
    "y=fun1(x)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('f(x)')\n",
    "#把函数作为形参时i，传入实参函数时，只要函数名即可，不用()\n",
    "tf=tangent_line(fun1,1)\n",
    "#因为tf返回的是lambda函数，所以要多调一次函数\n",
    "y2=tf(x)\n",
    "plt.plot(x,y)\n",
    "plt.plot(x,y2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "213b5b03-2d02-4f79-9524-d1a03faef5ab",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_773606/3264226530.py:6: FutureWarning: The geopandas.dataset module is deprecated and will be removed in GeoPandas 1.0. You can get the original 'naturalearth_lowres' data from https://www.naturalearthdata.com/downloads/110m-cultural-vectors/.\n",
      "  world = geopandas.read_file(geopandas.datasets.get_path('naturalearth_lowres'))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import geopandas\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "world = geopandas.read_file(geopandas.datasets.get_path('naturalearth_lowres'))\n",
    "world.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1147a059-2aaa-4256-893c-c5d758c31d75",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py39",
   "language": "python",
   "name": "py39"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
